{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "k_means_using_tensorflow.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "uCQrVzZSoFi-"
      },
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tensorflow as tf\n",
        "points_n = 200\n",
        "clusters_n = 3\n",
        "iteration_n = 100\n",
        "seed = 123\n",
        "np.random.seed(seed)\n",
        "tf.random.set_seed(seed)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "points = np.random.uniform(0, 10, (points_n, 2))\n",
        "centroids = tf.slice(tf.random.shuffle(points), [0, 0], [clusters_n, -1])"
      ],
      "metadata": {
        "id": "LfVbZ2RfsOcD"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(points[:, 0], points[:, 1], s=50, alpha=0.5)\n",
        "plt.plot(centroids[:, 0], centroids[:, 1], 'kx', markersize=15)\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "cS-woLe_FY3_",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "bdfeeac9-f67f-4d6d-905a-1e917fa044c9"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def closest_centroids(points, centroids):\n",
        "    distances = tf.reduce_sum(tf.square(tf.subtract(points, centroids[:,None])), 2)\n",
        "    assignments = tf.argmin(distances, 0)\n",
        "    return assignments\n"
      ],
      "metadata": {
        "id": "AM7-1EvLFdWy"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def move_centroids(points, closest, centroids):\n",
        "    return np.array([points[closest==k].mean(axis=0) for k in range(centroids.shape[0])])\n"
      ],
      "metadata": {
        "id": "jm2pmkIiFgLQ"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "for step in range(iteration_n):\n",
        "    closest = closest_centroids(points, centroids)\n",
        "    centroids = move_centroids(points, closest, centroids)\n"
      ],
      "metadata": {
        "id": "WYjBYz-IFlhD"
      },
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter(points[:, 0], points[:, 1], c=closest, s=50, alpha=0.5)\n",
        "plt.plot(centroids[:, 0], centroids[:, 1], 'kx', markersize=15)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "id": "ot2hccceFqiR",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "outputId": "ddc9d7c8-21e7-4410-ff8f-5ffbac93bce0"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def sse(points, centroids):\n",
        "    sse1 = tf.reduce_sum(tf.square(tf.subtract(points, centroids[:,None])), 2).numpy()\n",
        "    s = np.argmin(sse1, 0)\n",
        "    distance = 0\n",
        "    for i in range(len(points)):\n",
        "      distance += sse1[s[i], i]\n",
        "\n",
        "    return distance/len(points)"
      ],
      "metadata": {
        "id": "GDDkkHObYKd6"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "w_sse = []\n",
        "for n in range(1, 11):\n",
        "  centroids = tf.slice(tf.random.shuffle(points), [0, 0], [n, -1])\n",
        "  for step in range(iteration_n):\n",
        "    closest = closest_centroids(points, centroids)\n",
        "    centroids = move_centroids(points, closest, centroids)\n",
        "  #print(sse(points, centroids))\n",
        "  w_sse.append(sse(points, centroids))\n",
        "plt.plot(range(1, 11),w_sse) \n",
        "plt.xlabel('Number of clusters') "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "id": "qjbQHTqWYVMW",
        "outputId": "b60cca54-2630-4acf-e537-489fee1c246f"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'Number of clusters')"
            ]
          },
          "metadata": {},
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}